Question 6 (12 points) A monopolist can sell q units of output at price p(q) = 12-q. In order to produce, the monopolist has to pay a fixed cost of $5 and a per unit production cost of $2. Find: (a) the profit function (b) the production level that maximizes profits. (c) the range of quantities for which profit is positive (d) the production level where profit is maximized.